810774093441312 has 1440 divisors, whose sum is σ = 3222971654031360. Its totient is φ = 194158152714240.

The previous prime is 810774093441311. The next prime is 810774093441337. The reversal of 810774093441312 is 213144390477018.

810774093441312 is a `hidden beast` number, since 8 + 1 + 0 + 77 + 40 + 93 + 441 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (810774093441311) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28973794873 + ... + 28973822855.

It is an arithmetic number, because the mean of its divisors is an integer number (2238174759744).

Almost surely, 2^{810774093441312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810774093441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611485827015680).

810774093441312 is an abundant number, since it is smaller than the sum of its proper divisors (2412197560590048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

810774093441312 is a wasteful number, since it uses less digits than its factorization.

810774093441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28908 (or 28878 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 810774093441312 in words is "eight hundred ten trillion, seven hundred seventy-four billion, ninety-three million, four hundred forty-one thousand, three hundred twelve".